Accession Number : ADA301216

Title :   On the Flow of a Compressible Fluid by the Hodograph Method I-Unification and Extension of Present-Day Results,

Corporate Author : NATIONAL AERONAUTICS AND SPACE ADMINISTRATION WASHINGTON DC

Personal Author(s) : Garrick, I. E. ; Kaplan, Carl

PDF Url : ADA301216

Report Date : 1944

Pagination or Media Count : 30

Abstract : Elementary basic solutions of the equations of motion of a compressible fluid in the hodograph variables are developed and used to provide a basis for comparison, in the form of velocity correction formulas, of corresponding compressible and incompressible flows. The known approximate results qt Chaplygin, von Kdrman and Tsien, Temple and Yarwood, and Prandtl and Glauert are unified by means of the analysis of the present paper. Two new types of approximations, obtained from the basic solutions, are introduced: they possess certain desirable features of the other approximations and appear preferable as a basis for extrapolation into the range of high stream Mach numbers and large disturbances to the main stream. Tables and figures giving velocity and pressure- coefficient correction factors are included in order to facilitate the practical application of the results.

Descriptors :   *COMPRESSIBLE FLOW, *TWO DIMENSIONAL FLOW, VELOCITY, EQUATIONS OF MOTION, COMPUTATIONAL FLUID DYNAMICS, APPROXIMATION(MATHEMATICS), MACH NUMBER, SUBSONIC FLOW, NUMERICAL METHODS AND PROCEDURES, SUPERSONIC FLOW, HYDRODYNAMICS, PRESSURE DISTRIBUTION, INCOMPRESSIBLE FLOW, EQUATIONS OF STATE, ANALYTIC FUNCTIONS, EXTRAPOLATION.

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE